A note on combining chaotic dynamical systems using the fuzzy logic XOR operator

TL;DR

This paper investigates whether combining two chaotic systems with the fuzzy XOR operator preserves chaos, aiming to enhance secure communication and encryption techniques.

Contribution

It introduces a novel approach of using fuzzy XOR to combine chaotic systems and analyzes its impact on chaos preservation.

Findings

Fuzzy XOR can maintain chaos under certain conditions

Potential applications in cryptography and secure communications

Provides theoretical insights into chaotic system combination

Abstract

In this paper we explore whatever combining two chaotic dynamical systems using the fuzzy logic operator XOR can maintain or not the chaotic properties of the resulting dynamical system. This study is motivated by techniques used in applications to secure communications ,images encryption and cryptography.